Least Common Multiple of 18/951, 14/718, 610/960

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/951, 14/718, 610/960 quickly i.e. 38430 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/951, 14/718, 610/960 is 38430.

LCM(18/951, 14/718, 610/960) = 38430

LCM of 18/951, 14/718, 610/960

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 18/951,14/718,610/960

Given numbers are 18/951,14/718,610/960

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 18,14,610

Least Common Multiple of Numerators i.e. LCM of 18,14,610 is 38430.

GCF of Denominators means GCF of 951,718,960 as per the given fractions.

GCF of 951,718,960 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,14,610

LCM of Fractions 18/951,14/718,610/960 is 38430

2 18, 14, 610
9, 7, 305

∴ So the LCM of the given numbers is 2 x 9 x 7 x 305 = 38430

Least Common Multiple of 18,14,610 with GCF Formula

Least Common Multiple of 18,14,610 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 18,14,610 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,14,610) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(18,14,610) x common factors =2 x 2 = 4

LCM(18,14,610) = ( 18 × 14 × 610 ) / 4

LCM(18,14,610) = 153720 / 4

LCM(18,14,610) = 38430


Lets's calculate GCF of 951,718,960

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38430/1

Therefore the LCM of Fractions 18/951,14/718,610/960 is 38430

Greatest Common Factor of 951,718,960 By Matching Biggest Common Factor Method

Greatest Common Factor of 951,718,960 By Matching Biggest Common Factor Method

Factors of 951

List of positive integer factors of 951 that divides 951 without a remainder.

1,3,317,951

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Greatest Common Factor

We found the factors 951,718,960 . The biggest common factor number is the GCF number.
So the greatest common factor 951,718,960 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 18/951, 14/718, 610/960

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 18/951, 14/718, 610/960?

Answer: LCM of Numerators as per given numbers 18/951, 14/718, 610/960 is

LCM of Numerators i.e. for 18,14,610 is 38430

GCF of denominators i.e. for 951,718,960 is 1.

Thus, LCM of Fractions is 38430.Finally, LCM of Fractions for 18/951, 14/718, 610/960 is 38430.